3403813980 has 96 divisors (see below), whose sum is σ = 10905753600. Its totient is φ = 777047040.

The previous prime is 3403813943. The next prime is 3403813991. The reversal of 3403813980 is 893183043.

It is a super-2 number, since 2×3403813980² = 23171899220886880800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365421 + ... + 374619.

It is an arithmetic number, because the mean of its divisors is an integer number (113601600).

Almost surely, 2^3403813980 is an apocalyptic number.

3403813980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403813980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5452876800).

3403813980 is an abundant number, since it is smaller than the sum of its proper divisors (7501939620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3403813980 is a wasteful number, since it uses less digits than its factorization.

3403813980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10099 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3403813980 is about 58342.2143906109. The cubic root of 3403813980 is about 1504.2566469893.

The spelling of 3403813980 in words is "three billion, four hundred three million, eight hundred thirteen thousand, nine hundred eighty".